Bohner, MartinMesquita, Jaqueline G.2022-03-102022-03-102018-12-12Bohner, M., Mesquita, J. G. (2018). Almost periodic functions in quantum calculus. <i>Electronic Journal of Differential Equations, 2018</i>(197), pp. 1-11.1072-6691https://hdl.handle.net/10877/15493In this article, we introduce the concepts of Bochner and Bohr almost periodic functions in quantum calculus and show that both concepts are equivalent. Also, we present a correspondence between almost periodic functions defined in quantum calculus and ℕ0, proving several important properties for this class of functions. We investigate the existence of almost periodic solutions of linear and nonlinear q-difference equations. Finally, we provide some examples of almost periodic functions in quantum calculus.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalQuantum calculusJackson derivativePeriodicityBochner almost periodicityBohr almost periodicityArticle